A new mechanism for intermittency in rings of cells
Parker, Martyn and Stewart, Ian. (2008) A new mechanism for intermittency in rings of cells. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol.18 (No.3). pp. 675-687. ISSN 0218-1274Full text not available from this repository.
Official URL: http://dx.doi.org/10.1142/S0218127408020574
We discuss a general mechanism that induces periodic switching between different dynamic phenomena in rings of cells. Such intermittent behavior is normally modeled by asymptotically stable heteroclinic cycles. Our mechanism does not require a heteroclinic cycle in the ring of cells, instead a Van der Pol oscillator forces our system so that it periodically changes state.
We investigate this mechanism numerically in a number of different examples. These simulations demonstrate a variety of interesting forms of intermittency.
|Item Type:||Journal Article|
|Subjects:||Q Science > QA Mathematics
|Divisions:||Faculty of Science > Mathematics|
|Journal or Publication Title:||International Journal of Bifurcation and Chaos in Applied Sciences and Engineering|
|Publisher:||World Scientific Publishing Co. Pte. Ltd.|
|Official Date:||March 2008|
|Number of Pages:||13|
|Page Range:||pp. 675-687|
|Access rights to Published version:||Restricted or Subscription Access|
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